Answer: 3 hours
Step-by-step explanation: Exponential growth is a model showing a specific quantity increasing over time.
The formula for it is [tex]y(t)=A_{0}e^{kt}[/tex]
in which
y(t) is the quantity after time t
A₀ is initial value
k is rate of growth
t is time
To determine how much time has passed, first find the rate of growth and knowing that 1 hour has 60 minutes:
[tex]500=10e^{60k}[/tex]
[tex]e^{60k}=50[/tex]
[tex]60k=ln(50)[/tex]
k = 0.065
With the rate, determine the time
[tex]10^{6}=10e^{0.065t}[/tex]
[tex]e^{0.065}=10^{5}[/tex]
[tex]0.065t=5ln(10)[/tex]
t = 177.12 minutes
The amount of hours passed is
[tex]t=\frac{177.123}{60}[/tex]
t = 3
From the start of the experiment, it has passed 3 hours before there were 1,000,000 bacterias.
3n + 7 = 16; n = 3
true or false?? need answers quickly
Answer:
True
Step-by-step explanation:
To solve substitute 3 for n into the equation.
3(3)+7=16. Using order of operations multiply 3 and 3.
9+7=16 Add 9+7 next and 9+7 does equal 16 so this answer is true.
16=16
True.
Who gets this correct gets the brainliest answer
Answer:
(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5
to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2
slope = -5
y-intercept = -2
and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b
where m is the slope
b is the y-intercept
the equation of this line is " y = -5x -2 "
Patty used 740.88 gallons of water over the course of 7 days. How much water did Patty use, on average, each day?
105.84 water used on average each day.
740.88 divided by 7 will give you 105.84
Or, 7 times 105.84 will get you 740.88
There were many ways you could get this, hope this helped!
2.31 (1 repeating) as a fraction
Answer:
[tex]\frac{231}{100}[/tex]
This is assuming that you can simplify the 2.31 to the nearest hundredth.
Please help me if u know
Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]
x = [tex]\frac{3-\sqrt{21} }{4}[/tex]
Step-by-step explanation:
4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa
Answer:
a=13
Step-by-step explanation:
4a+12-7=6a-21
combine like terms
4a+5=6a-21
sub 4a from each side
5=2a-21
add 21 to each side
26=2a
divide each side by 2
a=13
Answer:
:)
Step-by-step explanation:
a=13
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay? thanks!
A $1,664
B $10,880
C 12,000
D $1,920
Find 15% of 12,800,
[tex]\frac{15}{100}[/tex] ×[tex]\frac{12,800}{1}[/tex]
= 1,920
Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45
Answer:
B
Step-by-step explanation:
Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."
Answer:
I think it's...
[(2 + 10) × 3] + 9
Kevin went fishing and is using a scatterplot to analyze the relationship between the weight of each of the fish he caught in pounds and in kilograms. He uses the weight in pounds as the independent variable and the weight in kilograms as the dependent variable. Which statement is correct?
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms decreases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms decreases.
Answer:
The answer is A.The points on the scatter plot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases, because when the pounds (lbs.) increases, the kilograms (kg.) increase.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just did the quiz and got it right
need help asappp!!! please help me out guys
Answer:
12
Step-by-step explanation:
X=3
Y=9
I needed more characters
HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?
A 137
B 77
C 83
D 105
Answer:
I'm sure the answer is A
Step-by-step explanation: There is none, I saw someone else answer this.
Answer:
I'm pretty sure it's 83
Step-by-step explanation:
Teacher explanation that I still don't really understand
The function f(x) varies inversely with x and f(x)=2 when x = 16.
What is f(x) when x = 4?
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2
The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]How to find the value of the function as x approaches infinity(+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
Testing all the four functions listed for x tending to -∞ or ∞:
Case A: [tex]y = (x+ 2)^3 -9[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]
(since cube of negative quantity is going to be negative)
Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.
Case B: [tex]y = -2x^3-1[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]
(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.
2. For x approaching ∞
[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]
So function approaches negative infinity as x approaches positive infinity
Thus, the considered function behaves as needed.
Case C: [tex]y = -3x^3 + 4[/tex]Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.
Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.
Case D: [tex]y = 3(x-1)^2[/tex]Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.
Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]Learn more about limiting values of a function here:
https://brainly.com/question/13146225
Answer: y=-2x^-1
Step-by-step explanation:
Unit 3 Lesson 04.1 Percent Increase and Decrea...
0/1P
T
10/12 -
Maria's hair is now 40.6 centimeters long after cutting off 30% of her hair.
How long was her hair before she cut it?
What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?
Answer:
-24
Step-by-step explanation:
The standard from of equation of a line is expressed as g(x) = mx+c where;
m is the slope
c is the y-intercept of the line.
Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;
g(x)= (- 8)(x +3)
gx)= -8x - 24
On Comparing with g(x) mx+ c, we will see that;
c = -24
Hence the y-intercept of the quadratic function is -24
If someone can just answer the first question that would be so helpful plzzz
Answer:
I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.
Step-by-step explanation:
$5.99 for 18 lb this is the question
Which scenario will have a quotient of 4/12?
A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?
B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?
C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?
D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?
Answer: A
Step-by-step explanation: just a feeling
Answer:
a
Step-by-step explanation: the question is aking you what 4/12 equals.
the answer A is asking you what 4 divided by 12 is (0.33333333)
b) is multiplying
c) is has a 3 which is not in the question
d) is improper
•••••••••••••••••••••
Answer:
the answer is g
Step-by-step explanation:
20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3
Answer:
Step-by-step explanation:
Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped
6x2 + 7x - 49
What is the answer
Answer:-
Step-by-step explanation:
Answer:
7x - 37
Step-by-step explanation:
. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make
The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.
What is Proportion?Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.
Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.
Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins
Beth buys 4 boxes of raisins, each with 120 raisins in it.
Total number of raisins Beth bought = 4 × 120 = 480 raisins
So, 1 gingerbread can be made from 5 raisins.
Let x be the number of gingerbreads made from 480 raisins.
Using proportion,
1 : 5 = x : 480
1 / 5 = x / 480
Applying cross multiplication,
5x = 480
x = 480 / 5
x = 96
96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.
Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.
To learn more about Proportions, click on the link given below:
https://brainly.com/question/29774220
#SPJ2
Help please need this soon
Answer:
I'm too dum to help but thanks for the points dude
Step-by-step explanation:
Answer:
4 and 5:yes and no
Step-by-step explanation:
4.one to many is not a function
5.It is a function because it is a many to one relation
9. Find (f.g)(a) if f(a) = . and g(a) = 2². Fully simplify your answer.
A. (F•g) = 1/a
B. (F•g) (a) = a
C. (F•g) (a) = 1/a^2
D. (F•g) = 1
D is your answer ....
First to answer and get right gets brainleist and there is ma points pls help
Answer:
#11 is D. x = u - k
#12 is D. x = gc
Step-by-step explanation:
I plugged random integers to test this. Anyhow, just do the inverse operation.
#11:
13 = x + 8
x = 13 - 8
x = 5
Here, x = u - k is the new equation.
#12:
23 = x/9
x = 23(9)
x = 207
Here, x = gc is the new equation.
Find the value for x.
5x - 12
3x + 30
48
The value of x will be;
⇒ x = 3.75
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
Help
Fjdjdjdjdjdjdjdjdjjd
Answer:
D. -2/5
Step-by-step explanation:
Help plz! Will give brainliest!
Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more
Step-by-step explanation:
Answer:
D sqrt 72
Step-by-step explanation:
The answer is not A because 8.89 = sqrt 79 and that is too high
The answer is not B because 9.06 = sqrt 82
The answer is not C because 7.94 = sqrt 63
The answer is D 8.49 = sqrt 72 and that is perfect.
You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?
Answer:
$1.77
Brainliest please?
Step-by-step explanation:
5.25+2.98=8.23
10-8.23=1.77